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Finding the Fourth Proportional to 300,837.86, 415,146.86 and 164,869.34

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Solution

The fourth proportional to 300,837.86, 415,146.86 and 164,869.34 is: 227,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,837.86 : 415,146.86 = 164,869.34 : x
  2. Step 2: Convert to fraction form
    300,837.86/415,146.86 = 164,869.34/x
  3. Step 3: Cross multiply
    300,837.86x = 415,146.86 × 164,869.34
  4. Step 4: Simplify right side
    300,837.86x = 68,444,988,811.27
  5. Step 5: Solve for x
    x = 68,444,988,811.27/300,837.86
  6. Step 6: Final answer
    x = 227,514.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.